As shown in the figure, a well pump is used to lift 20C water from a...

  

Transcribed Image Text:

As shown in the figure, a well pump is used to lift 20°C water from a water table to ground level. This pipe network Open consists of a 28-m long vertical pipe (2 to 3) that carries the water up from the well, followed by an elbow, a gate valve, a 90%-efficiency pump, a 530-m long horizontal pipe (4 to 5), a second gate valve, a short 6.9-m horizontal pipe, and finally a horizontal venturi before it is ejected into the atmosphere at (7). All connections are flanged. The internal diameter of all the piping is 6.5 cm, except at the exit of the venturi where the diameter D7 is reduced to 5.1 cm at the outlet of the venturi. The length of the varying flow area of the venturi, Lven, is 2.8 cm. A manometer placed on the venturi is used to confirm the flowrate based on the height difference hman. The density of the manometer fluid is 5100 kg/m³. Under a given scenario when the depth of the water table, hwat, is 35% of the well depth, hwell. Based in the length of time that this pump system has been in operation, 260 μm of calcium-based scale has built up on the inner walls of the pipes. The facility that this pump serves requires 710 LPM of water to be consistently supplied to it. This is controlled by regulating the power that is supplied to the pump. Assume both valves to be completely 55% open. Also, the bend and all components following can be taken to be at ground level. Finally, the momentum and kinetic factors for flow inside all pipes are both 1.0. a. The velocity of water through the system (except at the exit of the venturi) is b. The velocity of water as it exits the venturi is c. The angle, 0, between the sloped sides of the venturi (as indicated in the diagram) is d. The minor loss coefficient of the venturi is m/s. based on venturi angle accompanies the figure.) m/s. degrees. (Note that a higher precision plot of the loss coefficient valve "b" hwat 3 2 (4) pump 1 V well valve "a" hwell venturi venturi KL 0.2 0 10 20 Lven 0 hman 30 40 0 (degrees) o 50 Patm 60 70 As shown in the figure, a well pump is used to lift 20°C water from a water table to ground level. This pipe network Open consists of a 28-m long vertical pipe (2 to 3) that carries the water up from the well, followed by an elbow, a gate valve, a 90%-efficiency pump, a 530-m long horizontal pipe (4 to 5), a second gate valve, a short 6.9-m horizontal pipe, and finally a horizontal venturi before it is ejected into the atmosphere at (7). All connections are flanged. The internal diameter of all the piping is 6.5 cm, except at the exit of the venturi where the diameter D7 is reduced to 5.1 cm at the outlet of the venturi. The length of the varying flow area of the venturi, Lven, is 2.8 cm. A manometer placed on the venturi is used to confirm the flowrate based on the height difference hman. The density of the manometer fluid is 5100 kg/m³. Under a given scenario when the depth of the water table, hwat, is 35% of the well depth, hwell. Based in the length of time that this pump system has been in operation, 260 μm of calcium-based scale has built up on the inner walls of the pipes. The facility that this pump serves requires 710 LPM of water to be consistently supplied to it. This is controlled by regulating the power that is supplied to the pump. Assume both valves to be completely 55% open. Also, the bend and all components following can be taken to be at ground level. Finally, the momentum and kinetic factors for flow inside all pipes are both 1.0. a. The velocity of water through the system (except at the exit of the venturi) is b. The velocity of water as it exits the venturi is c. The angle, 0, between the sloped sides of the venturi (as indicated in the diagram) is d. The minor loss coefficient of the venturi is m/s. based on venturi angle accompanies the figure.) m/s. degrees. (Note that a higher precision plot of the loss coefficient valve "b" hwat 3 2 (4) pump 1 V well valve "a" hwell venturi venturi KL 0.2 0 10 20 Lven 0 hman 30 40 0 (degrees) o 50 Patm 60 70